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Simplifying -1 + 8a + -2 = 9 + 1 + -1a + 5 Reorder the terms: -1 + -2 + 8a = 9 + 1 + -1a + 5 Combine like terms: -1 + -2 = -3 -3 + 8a = 9 + 1 + -1a + 5 Reorder the terms: -3 + 8a = 9 + 1 + 5 + -1a Combine like terms: 9 + 1 = 10 -3 + 8a = 10 + 5 + -1a Combine like terms: 10 + 5 = 15 -3 + 8a = 15 + -1a Solving -3 + 8a = 15 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -3 + 8a + a = 15 + -1a + a Combine like terms: 8a + a = 9a -3 + 9a = 15 + -1a + a Combine like terms: -1a + a = 0 -3 + 9a = 15 + 0 -3 + 9a = 15 Add '3' to each side of the equation. -3 + 3 + 9a = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 9a = 15 + 3 9a = 15 + 3 Combine like terms: 15 + 3 = 18 9a = 18 Divide each side by '9'. a = 2 Simplifying a = 2
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